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Finding the Fourth Proportional to 9,875.28, 14,725.81 and 9,786.38

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Solution

The fourth proportional to 9,875.28, 14,725.81 and 9,786.38 is: 14,593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.28 : 14,725.81 = 9,786.38 : x
  2. Step 2: Convert to fraction form
    9,875.28/14,725.81 = 9,786.38/x
  3. Step 3: Cross multiply
    9,875.28x = 14,725.81 × 9,786.38
  4. Step 4: Simplify right side
    9,875.28x = 144,112,372.47
  5. Step 5: Solve for x
    x = 144,112,372.47/9,875.28
  6. Step 6: Final answer
    x = 14,593.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.